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Extremal sets of graphs in the problem of demarcation in the family of hereditary closed classes of graphs
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D. S. Malyshev
Veröffentlicht/Copyright:
22. Juni 2013
Abstract
In this research we consider minimal hard and boundary classes. These classes are of considerable importance in demarcating the polynomial solvability and the NP-completeness of problems on graphs in the family of hereditary classes. Earlier it was established that there are no minimal hard classes for a certain type of problems on graphs. Here we find a sufficient condition for existence of such classes. With its use we construct new examples of minimal hard classes and boundary classes for some problems on graphs. We provide complete description of the sets of minimal hard and boundary classes for the problems under consideration. Up to now, no such descriptions were known.
Published Online: 2013-06-22
Published in Print: 2012-10
© 2013 by Walter de Gruyter GmbH & Co.
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Artikel in diesem Heft
- Masthead
- On the algebras of almost minimal rank
- Definition of positively closed classes by endomorphism semigroups
- The power conjugacy search problem in a cyclic subgroup in groups with the condition C.3/ & T.6/
- Lawvere intervals and the Möbius function of a Möbius category
- On algorithmic solvability of the A-completeness problem for systems of boundedly determinate functions containing all one-place boundedly determinate S-functions
- On uniqueness of alphabetic decoding
- On unstable branching graphs
- Extremal sets of graphs in the problem of demarcation in the family of hereditary closed classes of graphs
- Statistical problems on random permutations with censored data
- On large deviations of branching processes in a random environment with arbitrary initial number of particles: critical and supercritical cases
- Multitype branching processes evolving in a Markovian environment
- On solutions and algebraic duality of generalised linear discrete time systems
- On the number of Gram’s intervals containing the ordinates of successive zeros of the Riemann zeta function
